ConwayLife.com

... end str = tostring(bnum[bnum.len - 1]) dotpos = string.find(str..".","%.") temp = string.sub(str,1,dotpos-1) .. temp if bnum.signal == '-' then temp = bnum.signal .. temp end return temp else return "" end end function BigNum.mt.eq( num1 , num2 ) local bnum1 = BigNum.new( ...

... KochCurve Aug 26,2024 by islptng @COLORS 0 0 0 0 # blank 1 255 255 255 # path 2 0 255 255 # start left 3 0 0 255 # start right 4 128 128 128 # signal tail 5 255 0 0 # signal right 6 0 255 0 # signal left 7 255 255 0 # signal read 8 128 128 0 # signal tail+finish 9 255 0 255 # arm head 10 64 ...

... = KochCurve BHFI! @RULE KochCurve @COLORS 0 0 0 0 # blank 1 255 255 255 # path 2 0 255 255 # start left 3 0 0 255 # start right 4 128 128 128 # signal tail 5 255 0 0 # signal right 6 0 255 0 # signal left 7 255 255 0 # signal read 8 128 128 0 # signal tail+finish 9 255 0 255 # arm head 10 64 ...

... ComplexWorms This rule has worm-like spaceships and oscillators with complex behaviour. When the tail of worm reached a bend, it will send a turn signal to the head. The signal can be either on the left, or on the right, depends on the 1D rule simulated in the worm's body. Also, some worms may ...

... A$14.A2.A$14.A$15.A3.A$17.2A.A$20.A$20.2A! The 4-flipper which takes 77 steps to produce another 4 could theoretically allow signals to pass at intervals potentially as low as 57, if the ant produced by the leading signal could be deleted faster than the approaching signal.

... # Echo generation # The long table 0,0,2,7,2,1 # j 0,0,3,6,3,1 # i 0,1,1,2,d,1 # fi = fan-in 0,1,1,e,2,1 # fi 0,1,2,1,d,1 # fi 0,1,2,2,d,1 # p = signal propagation 0,1,2,3,5,1 # p 0,1,2,4,2,1 # p 0,1,2,4,4,1 # fo = fan-out 0,1,2,5,b,1 # p (was fi) 0,1,2,5,5,1 # fo 0,1,2,6,2,1 # p 0,1,2,6,6,1 ...

... 2B.2B3$32.3A4.2B$32.A.A4.2B$32.A.A$2B2.2B2.2B2.2B2.2B2.2B2.2B3.2B8.2B $2B2.2B2.2B2.2B2.2B2.2B2.2B3.2B8.2B2$32.2B.2B$32.2B.2B! #C Pi signal clock failed x = 30, y = 27, rule = Ignorance 7.2B$7.2B2$2B8.2B$2B8.2B2$13.2B$3.2B8.2B$3.2B$16.2B$6.2B8.2B$6.2B$19. 2B$9.2B8.2B$9.2B$22.2B.2B$12.2B8.2B.2B$12.2B2$15.2B4.3A4.2B$15.2B4.A. ...

Any working pi factory?

Citation needed wrote: ↑

August 1st, 2024, 5:26 am

This page claims that Langton's Ant is Turing Complete. Is that so?

Langton's ant is a 2D equivalent of Busy Beavers, which is also Turing Complete. Using the diagonal ladders you may can make signal logics in Langton's ant.

... (i.e. a finite pattern that's Turing complete). This can rule out: • Rules with no spaceships. • Rules that are too explosive or stable to have no signal interactions. • Rules with spaceships, but none of those are common. • Rules with very common linear growths (excluding guns). Optionally, the ...

... to be more 'interesting', compared to one-time glider turners. Using "over unities" terminology, I was thought about OTT which gave 2 or more signals. For me "signals" mean Glider, xWSS, B, C D, E, H, I, P, Q, R as I don't really study the wicks. One-time glider splitters aren't overunity ...

... many different kinds of impact. It's possible to make an 'antenna': a wick that can withstand any glider impact from the NE or NW and transmit a signal southwards without releasing any spaceships. Here's one with a spatial period of 6, so you can test all 6 positions of that glider: x = 53, y ...

after a few contributive posts, its time to add the smallest bit of noise to my signal. here is a meme about conway story mode How about a “catalyses” section? You should move the “place a block to eat a beehive” exercise to there. Also, how about this exercise ...

... advancers. In order to get a factory of a certain period, it must be noted that there is a certain "repeat time" where the transformer's prior signal is out of the way enough for the next signal to enter. For most Ant-making reactions involving the 4, the minimum repeat time is 69, as the four's ...

... 3o$540bo15bobo! Smaller p32 transmitter, using the new smallest pseudo-p16 LWSS gun and a single p32 gun for reception (the signal is inverted at both ends). x = 415, y = 344, rule = B3/S23 321bo$321bobo$321b2o14$305bo$305bobo$305b2o30$273bo$273bobo$273b2o14$ 257bo$257bobo$257b2o6$249bo$249bobo$249b2o14$79b2o3b2o50b2o3b2o90bo$ ...

... into a diagonal 5c/26 wire? I greatly appreciate the clarity of thought and detail in your exposition of the problem. I might add that near the signal to be both p4 and match the 5c/26d does force it to be 5c/2d (and also 10c/0d) but of course away from that a solution could merge multiple 5c/2d ...

... "..............................." "..............................." 3. NORworld2 4.ExpBt32 and Univ1234 Experimental Bliptile 3-kinds-of-signal 2-types-of-wire Univ1234 is just ExpBt32 with Construction Universal And all my int 2-state rule BlipLife Rulestring: B4rt5cijkn6-en7c8/S0123-cn4-ny5-kr67c8 ...

... section 12.8.8 of the Life textbook). The current 0E0P master clock does all kinds of stuff that a new BigDiamond 0E0P won't have to do -- send signals to activate and deactivate copying mechanisms to fill two memory loops with sub-recipes that build the two sides of the nucleus Snark chains, ...

... recognize this starting in any conduits I know. I also don't know the name of the output but I already see it in other posts as an intermediate signal. So here's a H-to-? x = 29, y = 19, rule = LifeHistory 6.A$6.3A$9.A9.3D$8.2A3.B5.D2BD$8.8B2.D2B2D$10.8B2D2BDB$10.15B$9.16B$ 7.18B$5.18B.B2A$5.2BE14B2.BA.A$4.3BEBE4B.6B6.A$5.2B3E4B2.B.5B4.2A$4. ...

... recognize this starting in any conduits I know. I also don't know the name of the output but I already see it in other posts as an intermediate signal. So here's a H-to-? x = 29, y = 19, rule = LifeHistory 6.A$6.3A$9.A9.3D$8.2A3.B5.D2BD$8.8B2.D2B2D$10.8B2D2BDB$10.15B$9.16B$ 7.18B$5.18B.B2A$5.2BE14B2.BA.A$4.3BEBE4B.6B6.A$5.2B3E4B2.B.5B4.2A$4. ...

... on terminology, "the patterns speak for themselves". But yes, I think about patterns in physical meaning ... about glider reflectors rather the signal reflectors. I can imagine only "create an oscialtor task", where I could end up with a periodic stream of gliders, wanting the stream in another ...

... on terminology, "the patterns speak for themselves". But yes, I think about patterns in physical meaning ... about glider reflectors rather the signal reflectors. I can imagine only "create an oscialtor task", where I could end up with a periodic stream of gliders, wanting the stream in another ...

I definitely do not consider gliders/nongliders as the only possible signals, but I was talking about them in the context of glider gun absorbing a stream of gliders of the same frequency (as stabilisation). (If I go a bit further the stream ending by an eater ...

... # CataProp cells var c5=c var c3=c var c3=c var c4=c var c5=c var c6=c var c7=c var d={0,1,2,4,5,6,7} # All cells except red var s={2,4,6,7} # Signal heads 0,s,1,5,1,0,1,5,1,7 # Color changer 0,7,1,5,5,0,5,5,1,4 0,4,1,5,5,0,5,5,1,2 0,2,1,5,5,0,5,5,1,6 5,0,5,0,5,0,0,0,0,3 # T-ship 0,5,0,0,0,3,0,0,0,5 ...

... # CataProp cells var c5=c var c3=c var c3=c var c4=c var c5=c var c6=c var c7=c var d={0,1,2,4,5,6,7} # All cells except red var s={2,4,6,7} # Signal heads 0,s,1,5,1,0,1,5,1,7 # Color changer 0,7,1,5,5,0,5,5,1,4 0,4,1,5,5,0,5,5,1,2 0,2,1,5,5,0,5,5,1,6 5,0,5,0,5,0,0,0,0,3 # T-ship 0,5,0,0,0,3,0,0,0,5 ...